2
QuizMultiple Choice

Solving Exponential and Logarithmic Equations — Quiz

Question 2 • Mathematics III

What is the solution to the given equation? 3 log sub 4 x is equal to the log base 4 of 32 plus the log base 4 of 2

Answer
A
x is equal to negative 8
B
x is equal to 4
C
x is equal to 8
D
x is equal to negative 4

Explanation

Combine the logarithms on the right: log₄ 32 + log₄ 2 = log₄(32 × 2) = log₄ 64 = 3. Then 3 log₄ x = 3, so log₄ x = 1 and x = 4, since 4¹ = 4. The correct choice is x is equal to 4.

AI-written and checked against the verified answer.

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